A good rule of thumb is that any environment that consistently leaves you feeling bad about who you are is the wrong environment.
An introvert may feel asocial when pressured to go to a party that doesn't interest her. But for her, the event does not promise meaningful interaction. In fact, she knows that the party will leave her feeling more alone and alienated.
When an introvert cares about someone, she also wants contact, not so much to keep up with the events of the other person's life, but to keep up with what's inside: the evolution of ideas, values, thoughts, and feelings.